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### High School Mathematics13.8 Transformations Review - II

 A transformation is an operation that moves or changes a geometric figure in some way to produce a new figure. The new figure is called the image. Another name for the original figure is preimage. A transformation can be shown using an arrow. DABC ® DPQR Three main types of transformations: Translation moves every point of a figure the same distance in the same direction. Reflection uses a line of reflection to create a mirror image of the original figure. Rotation turns a figure about a fixed point, called the center of rotation . Rays drawn from the center of rotation to a point and its image form the angle of rotation. Translations, reflections and rotations are three types of congruence transformations. A congruence transformation changes the position of the figure without changing its shape and size. Another name for congruence transformation is isometry. An isometry is a transformation that preserves length and angle measure. Dilation A dilation is a transformation that stretches or shrinks a figure to create a similar figure. It is a type of similarity transformation. In a dilation, a figure is enlarged or reduced with respect to a fixed point called the center of dilation. The scale factor of the dilation is the ratio of a side length of the image to the corresponding side length of the original figure. Directions: Choose the correct answer. Also draw 5 examples for each type of transformation: reflection, translation, rotation and dilation.
 Q 1: Identify the type of transformation:rotationtranslationreflection Q 2: Image of (3,2) under translation defined by (x,y) ® (3x, 2y).(4,9)(9,4) Q 3: Identify the type of transformation:dilationrotationtranslationreflection Q 4: Identify the transformation:rotationdilationtranslationreflection Q 5: Identify the transformation: reflectionrotationtranslation Q 6: Identify the type of transformation:dilationtranslationreflectionrotation Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!